The discovery of quantum many-body scars (QMBS) both in Rydberg atom simulators and in
the Affleck–Kennedy–Lieb–Tasaki spin-1 chain model, have shown that a weak violation of …

Topological insulators and their intriguing edge states can be understood in a single-particle
picture and can as such be exhaustively classified. Interactions significantly complicate this …

We study the phenomenon of Hilbert space fragmentation in isolated Hamiltonian and
Floquet quantum systems using the language of commutant algebras, the algebra of all …

We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …

We study the quantum dynamics of a simple translation invariant, center-of-mass (CoM)
preserving model of interacting fermions in one dimension (1D), which arises in multiple …

Certain disorder-free Hamiltonians can be nonergodic due to a strong fragmentation of the
Hilbert space into disconnected sectors. Here, we characterize such systems by introducing …

We show how to numerically calculate several quantities that characterize topological order
starting from a microscopic fractional quantum Hall Hamiltonian. To find the set of …

We study a kinetically constrained pair-hop** model that arises within a Landau level in
the quantum Hall effect. At filling ν= 1/3, the model exactly maps onto the so-called “PXP …

Quantum many-body scar states are highly excited eigenstates of many-body systems that
exhibit atypical entanglement and correlation properties relative to typical eigenstates at the …

We show that the model wave functions used to describe the fractional quantum Hall effect
have exact representations as matrix product states (MPS). These MPS can be implemented …